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40531296 = 2531347691
BaseRepresentation
bin1001101010011…
…1010101100000
32211021012111010
42122213111200
540334000141
64004420520
71001340021
oct232472540
984235433
1040531296
1120973843
12116a7740
138521620
145550c48
153859416
hex26a7560

40531296 has 96 divisors (see below), whose sum is σ = 117186048. Its totient is φ = 12188160.

The previous prime is 40531259. The next prime is 40531319. The reversal of 40531296 is 69213504.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58311 + ... + 59001.

It is an arithmetic number, because the mean of its divisors is an integer number (1220688).

Almost surely, 240531296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40531296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58593024).

40531296 is an abundant number, since it is smaller than the sum of its proper divisors (76654752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40531296 is a wasteful number, since it uses less digits than its factorization.

40531296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 40531296 is about 6366.4194018302. The cubic root of 40531296 is about 343.5027067242.

The spelling of 40531296 in words is "forty million, five hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 188 208 282 312 376 416 564 611 624 691 752 1128 1222 1248 1382 1504 1833 2073 2256 2444 2764 3666 4146 4512 4888 5528 7332 8292 8983 9776 11056 14664 16584 17966 19552 22112 26949 29328 32477 33168 35932 53898 58656 64954 66336 71864 97431 107796 129908 143728 194862 215592 259816 287456 389724 422201 431184 519632 779448 844402 862368 1039264 1266603 1558896 1688804 2533206 3117792 3377608 5066412 6755216 10132824 13510432 20265648 40531296